It is worth noting that a Delta Crew encountered the same situation as the AF crew in a 330 on a Pacific flight. It was considered somewhat a non event. The crew flew the aircraft using pitch and power until they exited the weather and icing.
As far as the above post about control columns I don't see that as the problem. The issue is not back driving or interconnecting the controls be they sides sticks or yokes. I suspect if Airbus could revisit the issue the side sticks would be back driven. They won't do it now because of liability fears if they did not retrofit every aircraft.